Boundary Feedback Stabilization of Naghdis Model

We consider the stabilization of Naghdis model by boundary feedbacks where the model has a middle surface of any shape. First, applying the semigroup approach and the regularity of elliptic boundary value problems, we obtain the existence, the uniqueness, and the properties of solutions to Naghdis model. Finally, we establish the exponential decay rates for Naghdis model under some checkable geometric conditions on the middle surface.